167k views
3 votes
PLEASE THIS IS DUE AT MIDNIGHT LOL:

A plane flies 455 miles with the wind in the same time that it takes to fly 400 miles against the wind. If the wind is blowing at a speed of 12mph, whats the speed of the plane in still ai

1 Answer

5 votes

Answer:

  • 186.55 mph

Explanation:

Let the speed of the plane be s

The speed of the plane in the same direction is

  • s + 12

The speed of the plane against wind is

  • s - 12

Time = distance/speed

  • 455/(s + 12) = 400/(s - 12)

Solving for s

  • 400(s + 12) = 455(s - 12)
  • 400s + 400*12 = 455s - 455*12
  • 455s - 400s = (400 + 455)*12
  • 55s = 10260
  • s = 10260/55
  • s = 186.55 mph
User Joseph Lam
by
4.6k points